The op amp spec sheet will tell you the current each can be expected to use. If your supply can source 100 milliamps on both supply rails, then it should be adequate. It's always a good idea to check the requirement of the op amps, though.

What knightofsolamnus is referring to is the practice of connecting small capacitors (usually 0.1uF) from the op amps' supply pins to the ground pins. If you are using single-supply (only V+ and ground) op amps, connect a single 0.1uF capacitor from the V+ pin to the ground pin.

You will need more than just a transformer; you will need a regulated power supply. If you don't have one, you could build one from a left-over computer power supply.